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Finding the Fourth Proportional to 441.48, 662.28 and 314.04

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Solution

The fourth proportional to 441.48, 662.28 and 314.04 is: 471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.48 : 662.28 = 314.04 : x
  2. Step 2: Convert to fraction form
    441.48/662.28 = 314.04/x
  3. Step 3: Cross multiply
    441.48x = 662.28 × 314.04
  4. Step 4: Simplify right side
    441.48x = 207,982.41
  5. Step 5: Solve for x
    x = 207,982.41/441.48
  6. Step 6: Final answer
    x = 471.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.